Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints
Free vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a semianalytical method. The distribution of porous varies along the thickness of the plate, in which the mechanical properties are defined by open-cell m...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2019/6407174 |
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| _version_ | 1832549385540468736 |
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| author | Yuan Du Siyu Wang Liping Sun Yanhe Shan |
| author_facet | Yuan Du Siyu Wang Liping Sun Yanhe Shan |
| author_sort | Yuan Du |
| collection | DOAJ |
| description | Free vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a semianalytical method. The distribution of porous varies along the thickness of the plate, in which the mechanical properties are defined by open-cell metal foam. Regardless of boundary conditions, displacement admissible functions are represented by combination of standard cosine Fourier series and auxiliary sine series. The kinetic energy and potential energy of plates are also expressed on the basis of first-order shear deformation theory (FSDT) and displacement admissible functions. Finally, the coefficients in the Fourier series which determine natural frequencies and modal shape are derived by means of the Rayleigh–Ritz method. Convergence and dependability of the current method are verified by comparing with the results of FEM and related literatures. In addition, some new results considering geometry parameters under classical and elastic boundary constraints are listed. The effects of geometry parameters, material parameters, and boundary constraints have been discussed in detail. |
| format | Article |
| id | doaj-art-77ec09c671884cec8fc477d2eb3e191a |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-77ec09c671884cec8fc477d2eb3e191a2025-02-03T06:11:26ZengWileyShock and Vibration1070-96221875-92032019-01-01201910.1155/2019/64071746407174Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary ConstraintsYuan Du0Siyu Wang1Liping Sun2Yanhe Shan3College of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Shipbuilding Engineering, Harbin Engineering University, Harbin 150001, ChinaFree vibration of rectangular plates with three kinds of porosity distributions and different boundary constraints has been performed by means of a semianalytical method. The distribution of porous varies along the thickness of the plate, in which the mechanical properties are defined by open-cell metal foam. Regardless of boundary conditions, displacement admissible functions are represented by combination of standard cosine Fourier series and auxiliary sine series. The kinetic energy and potential energy of plates are also expressed on the basis of first-order shear deformation theory (FSDT) and displacement admissible functions. Finally, the coefficients in the Fourier series which determine natural frequencies and modal shape are derived by means of the Rayleigh–Ritz method. Convergence and dependability of the current method are verified by comparing with the results of FEM and related literatures. In addition, some new results considering geometry parameters under classical and elastic boundary constraints are listed. The effects of geometry parameters, material parameters, and boundary constraints have been discussed in detail.http://dx.doi.org/10.1155/2019/6407174 |
| spellingShingle | Yuan Du Siyu Wang Liping Sun Yanhe Shan Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints Shock and Vibration |
| title | Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints |
| title_full | Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints |
| title_fullStr | Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints |
| title_full_unstemmed | Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints |
| title_short | Free Vibration of Rectangular Plates with Porosity Distributions under Complex Boundary Constraints |
| title_sort | free vibration of rectangular plates with porosity distributions under complex boundary constraints |
| url | http://dx.doi.org/10.1155/2019/6407174 |
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